Math 2.0

Real functions Functions of several real variables Concept

Line integral of a vector field

Builds on Vector fieldParametrised curve

Summary

The line integral of a vector field along an oriented curve adds up the component of the field along the direction of motion. In physics it is the work that a force field does on a particle that moves along the curve.

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Euclidean space, object, no evidence levelEuclidean spaceobjectFunction, concept, no evidence levelFunctionconceptVector-valued function, concept, no evidence levelVector-valued functionconceptParametrised curve, concept, no evidence levelParametrised curveconceptVector field, concept, no evidence levelVector fieldconceptLine integral of a vector field, concept, no evidence levelLine integral of a ve…concept
Each page uses the pages above it. The colour of the bar on a box shows how strong the evidence is, and the box also gives it as text. The list has the same pages.
  • no evidence level
  1. Euclidean space object
  2. Function concept
  3. Vector-valued function concept
  4. Parametrised curve concept
  5. Vector field concept
  6. Line integral of a vector field concept

Where this leads

2 pages build on this one.

Further reading

  1. Web https://en.wikipedia.org/wiki/Line_integral, Line integral of a vector field
About this page
Tag0H5MR9B6GT
URIm2://0H5MR9B6GT
Aliaseswork-integral, circulation-integral
Kindconcept
WritingW1 stated
MSC26B12
UsesVector field, Parametrised curve

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